Can someone please help me with this square root problem?
1 answer:
Answer:
Rational, Rational, Rational, Irrational, Irrational
Step-by-step explanation:
The first question:
- -√49
- -7
This number is rational
Second:
- -70.8888....
This number is rational. It wouldn't be rational if the digits won't repeat.
Third:
- 15.91
This number is rational
Fourth:
- 17π
This is irrational. The digits of pi do not repeat, making it irrational.
Fifth:
- -√14
Irrational. The square root of a non-perfect square is irrational.
<h3 />-Chetan K
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Answer:
The best point estimate for a confidence interval estimating the population μ is 16 ounces.
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The best point estimate for a confidence interval estimating the population μ is
The sample mean, so 16 ounces.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 102 - 1 = 101
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.36
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces
The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.